A compressible threshold multi-secret images sharing scheme based on two-variable one-way functions and matrix multiplication

A matrix-multiplication based multi-secret images sharing scheme is proposed by combining shamir´s secret sharing scheme and two-variable one-way functions. The scheme uses the selected seed to generate random matrix, and then uses the matrix to share secret images based on matrix multiplication. In this scheme, the seed is shared among participants by using shamir´s secret sharing scheme, which can reduces public information compared with other scheme which is based on matrix multiplication. Two-variable one-way functions are applied to ensure the security and realize multiuse of the scheme. The participants can share multi-secret images by their pseudo-secret rather than their secret share. Experiment shows that the proposed scheme is security and has a good compression rate for image encryption.